Answers
Answer:
Step-by-step explanation:
1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)
2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)
3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)
4) [tex]DC=AB[/tex] (congruent segments have equal measure)
5) [tex]DE=BF[/tex] (substitution)
6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)
7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)
8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)
10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)
Related Questions
Find the distance between the following pairs of points. Round the answer to two decimal places (-5,0) and (-5,3)
Answers
Answer:
3
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
what is the square root of √ 3⁶/²⁵
Answers
Answer:
5
Step-by-step explanation:
The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.
The square root of a number is a value that, when multiplied by itself, gives the original number.
To find the square root of √ 3⁶/²⁵, we can break it down into simpler steps.
Step 1: Simplify the expression inside the square root. √ 3⁶/²⁵ can be simplified as follows: √(3⁶ / 5²)
Step 2: Simplify the numerator and the denominator separately.
The numerator is 3 raised to the power of 6, which means multiplying 3 by itself six times:
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
The denominator is 5 raised to the power of 2, which means multiplying 5 by itself two times: [tex]5^2[/tex] = 5 × 5 = 25
So, the expression becomes: √(729 / 25)
Step 3: Simplify the expression inside the square root.
√(729 / 25) = √(29.16)
Step 4: Find the square root.
The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.
To know more about square root here
https://brainly.com/question/428672
#SPJ2
PLEASE HELP PLEASE!!
A circular garden has a diameter of 4 m. What is the area of the garden? Use 3.14 for TT.
Answers
4b. If m
m
PLEASE HELP AND SHOW WORK PLEASE
Answers
Answer:
WAT = 28
Step-by-step explanation:
6x - 14 = 2x + 14
4x = 28
x = 7
WAT : 2(7) + 14 =
14 + 14 = 28
WAT = 28
I think you meant WAT not MAT right!???
HOPE THIS HELP
what is the answer to this system of equations pls also include explanation
-2x+5y = 75
x+5y = 45
Answers
Answer:
x=-10
Step-by-step explanation:
I explained the answer to your question in the photo
PLEASE HELP ASAP :)))))))) Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle.
What is the range of the graph?
a. 1 ≤ y ≤ 8
b. 100 ≤ x ≤ 400
c. 100 ≤ y ≤ 400
d. 1 ≤ x ≤ 8
Answers
Answer:
C
Step-by-step explanation:
The term range is used when looking for y.
This automatically eliminates the possibility of B and D.
Since y applies only to the vertical aspect of the graph, we can ignore all of the horizontal information (time minutes)
Looking at distance, the bug's lowest point was at 100cm and at its highest point at 400cm
This means the minimum is 100 and maximum is 400
In other words:
100 <= y <= 400
Answer:
C) 100 ≤ y ≤ 400
When we are talking about range, we are talking about y values, so B is disqualified.
When determining range you want the lowest & highest y values.
On this graph the lowest value of y is 100 (seen between 5 and 6 seconds).
The highest value of y is 400 (seen at 8 seconds).
Therefore, 100 ≤ y ≤ 400.
The length of a rectangle is twice its width.the length is 4 1/2 feet.what is the area of the rectangle
Answers
Answer:
10.125
Step-by-step explanation:
Length= 4 1/2 feet
Width= 2 1/4
Area=Length x width
Area=4.5 x 2.25
=10.125
Let me know if this is not correct.
angle just is a right angle. the measure of angle mkl is 30 degree , the measure of angle jkm is x what is the value of x
Answers
Answer:
25
Step-by-step explanation:
What is the area of the parallelogram? Show your work. (5 points)
Answers
Answer:
6 squared feet
Step-by-step explanation:
The formula is b X h
so we can see that the base is 8 and the height is 3/4
so now the equation would be
8 x 3/4 which is equal to 6
so the area of this parallelogram is 6
Janice has 15 pets. Each of her pets is either a dog or a bird. If her pets have a total of 38 legs, how
many dogs and how many birds does Janice own?
Answers
Hi!
These can be set up as systems of equations.
Let b = the number of birds, and let d = the number of dogs.
b + d = 21
2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)
You can solve this using either elimination or substitution.
Consider marking brainliest.
It is known that 5% of flashlight bulbs manufactured by a certain company are defective. a. Use the normal approximation to estimate the probability that, out of a random sample of 600 lightbulbs, at least 25 are defective. (5 points) b. Use the normal approximation to estimate the probability that, out of a random sample of 600 lightbulbs, fewer than 20 are defective. (5 points)
Answers
Using the normal approximation to the binomial, the probabilities are given by:
a) 0.8485 = 84.85%.
b) 0.0244 = 2.44%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
There are 600 bulbs, hence n = 600.5% are defective, hence p = 0.05.The mean and the standard deviation of the approximation are given, respectively, by:
[tex]\mu = np = 600(0.05) = 30[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{600(0.05)(0.95)} = 5.3385[/tex]
Item a:
Using continuity correction, the probability is P(X > 24.5), which is one subtracted by the p-value of Z when X = 24.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.5 - 30}{5.3385}[/tex]
[tex]Z = -1.03[/tex]
[tex]Z = -1.03[/tex] has a p-value of 0.1515.
1 - 0.1515 = 0.8485.
0.8485 = 84.85% probability.
Item b:
This probability is P(X < 19.5), which is the p-value of Z when X = 19.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19.5 - 30}{5.3385}[/tex]
[tex]Z = -1.97[/tex]
[tex]Z = -1.97[/tex] has a p-value of 0.0244.
The probability is of 0.0244 = 2.44%.
More can be learned about the normal distribution at https://brainly.com/question/24663213
what is the sum of 4 and 2 raised to the third power
Answers
Answer:
216
Step-by-step explanation:
4+2=6
6^3=216
Choose the amount of money that is equal to 3 quarters.
7 dimes 2 nickels
6 dimes 2 nickels
5 dimes 3 nickels
6 dimes 3 nickels
Answers
Answer:
The answer is D.
Step-by-step explanation:
Key:
1 dime = $0.10
1 nickel = $0.05
Solve:
A. 70+10=80
B. 60+10=70
C. 50+15=65
D. 60+15=75, so D is correct.
Shelley’s pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
Write a proportion that compares the sales of these two items, and find the cross products.
The cross products are both equal to
Answers
Answer:
Its 21 on edenuity
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
A snail moved 8mm in one minute. How many centimeters did it move?
Answers
m dm cm mm
0 8
8 mm = 0,8 cm
Step-by-step explanation:
48 cm
ERROR ANALYSIS
Christopher was asked to solve the question below. Review Christopher’s work. Do you agree or disagree with Christopher’s answer? Explain why you agree or disagree. If you disagree, correct Christopher’s work.
Triangle RTS has a vertices R (10,0) S (3,4) And T(4,2). what is the resulting image of S' after a vertical transition two units down and a horizontal transition four units to the right?
Christopher's work
(x-2,y+4)
S' (3,4)
S' (3-2,4+4)
S' (1,8)
Answers
Answer:
I agree with cristafers work
Step-by-step explanation:
The new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)
The original coordinate of S is (3,4).
To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right
The y-coordinate will increase by 4 if we move it to the right.
This will then become 4+4 =8.
If we shift it downward, it will become negative and read as -2.
This will then become 3-2 = 1.
So, the coordinate of S' will be located at (1, 8)
Hence, the new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
Learn more about the graph here:
brainly.com/question/16608196
#SPJ5
How would I do this?
Answers
0.45 divided by 18 please help it is due today
Answers
Answer:
answer is 0.025
Step-by-step explanation:
answer is 0.025
Solve. . m - 15 - 20 m =
Answers
If you don’t have a value for m, if you don’t just substitute it.
graph the linear function w(x) =3/5x+2
Answers
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
5 Recall Problem 3.1.4 where an archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be taken to be independent of each other. (a) If the archer shoots a series of arrows, what is the probability that the first bull’s-eye is scored with the fourth arrow? 168 CHAPTER 3 DISCRETE PROBABILITY DISTRIBUTIONS (b) What is the probability that the third bull’s-eye is scored with the tenth arrow? (c) What is the expected number of arrows shot before the first bull’s-eye is scored? (d) What is the expected number of arrows shot before the third bull’s-eye is scored?
Answers
Answer:
(a). 0.0678.
(b). 0.01356
(c). 11.1
(d). 33.3
Step-by-step explanation:
So, we are given the following data or parameters that is going to help us or assist us in solving this particular problem or Question.
(1). We are given from the question that the archer to hit a bull’s-eye, the probability will be 0.09.
(2). "the results of different attempts can be taken to be independent of each other".
Therefore, let us delve right into the solution to the question.
(a). The probability that the first bull’s-eye is scored with the fourth arrow = P(a= 4) = P × ( 1 - P)^a -1.
P(a = 4) = 0.09 × (1 - 0.09) ^4 - 1.
P(a= 4) = 0.0678.
(b). The probability that the third bull’s-eye is scored with the tenth arrow = P(b= 10, y = 3).
P(b= 10, y = 3) = 36 (0.91)^7 × ( 0.09)^3 = 0.01356.
(c). The expected number of arrows shot before the first bull’s-eye is scored = 1/0.09 = 11.1.
(d). The expected number of arrows shot before the third bull’s-eye is scored = 3/0.09 = 33.3.
Find the value of xxx, yyy, and zzz in the parallelogram below.
Answers
Answer:
x = 67; y = 121; z = 65
Step-by-step explanation:
x + 1 + 112 = 180
x + 113 = 180
x = 67
y - 9 = 112
y = 121
z + 3 + 112 = 180
z + 115 = 180
z = 65
select all of the terms that apply to the shape.
Answers
Answer:
pentagon + irregular polygon
Step-by-step explanation:
has 5 sides + a regular pentagon has all angles equal, this doesn't.
What number is one-fourth of three hundred and sixty?
A.180
B.45
C.60
D.90
E.360
Answers
Hey there!
To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.
There's also another way - multiplying fractions.
[tex]\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}[/tex]
In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.
Look what happens when I multiply:
[tex]\bold{\displaystyle\frac{360}{4}}[/tex]
We can use mental maths to solve it.
Hence, the answer's 90.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
:-)
[tex]\bold{Somebody~Who~Loves~Helping~Others:-)}[/tex]
Bryan drives 70 mph down the interstate write an equation to represent the distance y if he drives x hours
Answers
70
(
mi
hr
)
=
70
(
mi
hr
)
y
=
70
(
mi
hr
)
x
hr
=
70
(
mi
hr
)
Solve the system.
y = -6x - 14
2)
5x - 3y = 19
Answers
Answer:
x=-1
Step-by-step explanation:
Sam is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of weeks Sam has been adding money. Suppose that and are related by the equation .
Answers
Answer:
-2
Step-by-step explanation:
(8) fx=x2-2x-2
8(2)-2(8)-2
16-16-2
-2
Austin worked for 13 hours each day for 5 days. Then the next day he worked 9 hours. How many hours did Austin work in all?
Answers
Answer:
74
Step-by-step explanation:
13x5+9=74
Mark is building two separate pig-pens. The width of pig-pen A is w. The length of pig-pen A is 4 feet longer than its width. The width of pig-pen B is 5 feet less than the width of pig-pen A. The length of pig-pen B is 2 times its own width. If the both pig-pens have the same perimeter, then find the dimensions of each pig-pen.
Answers
Answer:
The width of pen A is 7 feet,
The Length of Pen A is 11 feet,
The width of Pen B is 6 feet,
The Length of Pen B is 12 feet
Step-by-step explanation:
The width of pen A is 7 feet,
The Length of Pen A is 7 + 4 = 11 feet,
The width of Pen B is 7+4-5 = 6 feet,
The Length of Pen B is 2*(7+4-5) = 12 feet
[tex]w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\[/tex]
Answer the following question below
Answers
Answer:
11/6
Step-by-step explanation:
2x/3 = 1/2
Cross multiply, get 4x = 3, x = 3/4
3y/4 = 3/2
Cross multiply, get 6y = 12, y = 2
x + y = 3/4 + 2 = 11/4
xy = 3/4 * 2 = 3/2
(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6